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Finding the Fourth Proportional to 385.57, 578.40 and 180.19

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Solution

The fourth proportional to 385.57, 578.40 and 180.19 is: 270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.57 : 578.40 = 180.19 : x
  2. Step 2: Convert to fraction form
    385.57/578.40 = 180.19/x
  3. Step 3: Cross multiply
    385.57x = 578.40 × 180.19
  4. Step 4: Simplify right side
    385.57x = 104,221.90
  5. Step 5: Solve for x
    x = 104,221.90/385.57
  6. Step 6: Final answer
    x = 270.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.